1. You hang a mass of on a spring that has a spring constant of 6.4 N/m. a. If y

Question

1. You hang a mass of on a spring that has a spring constant of 6.4 N/m.

a. If you pull down the mass and release it, you findnd that it oscillates up and down 8 times in 7.2 s. What is the hanging mass?

b. You keep the same mass and stretch the spring down so that the mass is at 4 cm from its equilibrium position before letting it go. You want to observe its oscillations, but don't start your motion detector until the mass is moving upward and has reached 2 cm below the equilibrium position. What phase offset would this give you at t = 0 ? Consider the equilibrium position of the mass to be y = 0.

For the following parts, make sure you graphs have accurate, numerical axes.

c. Draw a graph of position vs. time for the mass for two cycles of motion.

d. Draw a graph of velocity vs. time for the mass for two cycles of motion.

e. Draw a graph of acceleration vs. time for the mass for two cycles of motion.

f. On each of your graphs draw a circle around the points where the kinetic energy of the mass is zero and draw a square around the points where the potential energy of the spring is zero.

Explanation / Answer

Time period = 7.2 / 8 = 0.9 s

a) T = 2pi*sqrt(m/k)

0.9 = 2pi*sqrt(m / 6.4)

m = 0.13 kg

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